Of 1000 randomly selected cases of lung cancer, 833 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. SPS i i (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03? (c) How large must the sample if we wish to be at least 95% confident that the error in estimating p is less than 0.03, regardless of the true value of p?
Of 1000 randomly selected cases of lung cancer, 833 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. SPS i i (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03? (c) How large must the sample if we wish to be at least 95% confident that the error in estimating p is less than 0.03, regardless of the true value of p?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Lung Cancer Study Analysis**
In a study of 1000 randomly selected cases of lung cancer, 833 resulted in death within 10 years. The aim is to construct a 95% two-sided confidence interval for the death rate from lung cancer.
**Tasks:**
(a) **Confidence Interval Construction:**
Calculate a 95% two-sided confidence interval for the death rate from lung cancer. Enter the lower and upper bounds of the interval to three decimal places in the provided fields.
(b) **Sample Size for Margin of Error:**
Determine the sample size required to be 95% confident that the error in estimating the true value of \( p \) is less than 0.03. Use the point estimate of \( p \) from the preliminary sample.
(c) **Sample Size for Maximum Precision:**
Calculate the necessary sample size to achieve at least 95% confidence that the estimation error of \( p \) is under 0.03, regardless of the true value of \( p \).
Each task allows users to input their calculations into interactive fields, with tooltips providing additional guidance.
For reference, visit the provided link to Statistical Tables and Charts for further details and support in calculations.
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